Which of the following equations has a solution different from the rest? (1 point)
Responses
−0.35x−0.52=1.93
negative 0.35 x minus 0.52 equals 1.93
−17x−34=14
negative Start Fraction 1 over 7 End Fraction x minus Start Fraction 3 over 4 End Fraction equals Start Fraction 1 over 4 End Fraction
34x+5=−14
Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction
12x−3=12
None of the given equations has a solution that is different from the rest.
ansers:
−0.35x−0.52=1.93
negative 0.35 x minus 0.52 equals 1.93
−1/7x−3/4=1/4
negative Start Fraction 1 over 7 End Fraction x minus Start Fraction 3 over 4 End Fraction equals Start Fraction 1 over 4 End Fraction
3/4x+5=−1/4
Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction
1/2x−3=1/2
The equation that has a solution different from the rest is 1/2x - 3 = 1/2.
To find the equation that has a solution different from the rest, we need to solve each equation and compare the solutions.
1. −0.35x−0.52 = 1.93:
To solve this equation, first, add 0.52 to both sides: -0.35x = 2.45.
Now, divide both sides by -0.35: x = -2.45 / (-0.35) = 7.
The solution to this equation is x = 7.
2. −17x−34 = 14:
To solve this equation, first, add 34 to both sides: -17x = 48.
Now, divide both sides by -17: x = 48 / (-17) ≈ -2.824.
The solution to this equation is x ≈ -2.824.
3. 34x+5 = −14:
To solve this equation, first, subtract 5 from both sides: 34x = -19.
Now, divide both sides by 34: x = -19 / 34 ≈ -0.559.
The solution to this equation is x ≈ -0.559.
4. 12x−3 = 12:
To solve this equation, first, add 3 to both sides: 12x = 15.
Now, divide both sides by 12: x = 15 / 12 = 1.25.
The solution to this equation is x = 1.25.
Upon comparing the solutions of all the equations, we can see that equation 2, -17x - 34 = 14 has a different solution (-2.824) from the rest.